5911864s13
5911864s13 5911864s13
  • 04-06-2020
  • Mathematics
contestada

PLEASEE HELPP....Simplify the expression using properties of exponents.​

PLEASEE HELPPSimplify the expression using properties of exponents class=

Respuesta :

jimrgrant1 jimrgrant1
  • 04-06-2020

Answer:

D

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{n} }{a^{m} }[/tex] = [tex]\frac{1}{a^{(m-n)} }[/tex]

Given

[tex]\frac{25a^{-5}b^{-8} }{5a^{4}b }[/tex]

= [tex]\frac{25}{5}[/tex] × [tex]\frac{a^{-5} }{a^{4} }[/tex] × [tex]\frac{b^{-8} }{b^{1} }[/tex]

= 5 × [tex]\frac{1}{a^{(4-(-5))} }[/tex] × [tex]\frac{1}{b^{(1-(-8))} }[/tex]

= 5 × [tex]\frac{1}{a^{9} }[/tex] × [tex]\frac{1}{b^{9} }[/tex]

= [tex]\frac{5}{a^{9}b^{9} }[/tex] → D

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